{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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BAgQIAAAQIECAxXQII03Lk1MgIECBAg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"text/plain": [ "plot without title" ] }, "metadata": { "image/svg+xml": { "isolated": true } }, "output_type": "display_data" } ], "source": [ "# Chapter 9 Lab: Support Vector Machines\n", "\n", "# Support Vector Classifier\n", "\n", "set.seed(1)\n", "x=matrix(rnorm(20*2), ncol=2)\n", "y=c(rep(-1,10), rep(1,10))\n", "x[y==1,]=x[y==1,] + 1\n", "plot(x, col=(3-y))" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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yt+VzGVrAxe+tkBn6roDOb7Ox72tuFhy3dWv0ulXL4y19Z2XqTucqVyfVsud2Yk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\nbMesok+VBBEoOwEGSGW3yukwAggggAACCBSDwPMvMvu/HzH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"text/plain": [ "Plot with title “SVM classification plot”" ] }, "metadata": { "image/svg+xml": { "isolated": true } }, "output_type": "display_data" } ], "source": [ "dat=data.frame(x=x, y=as.factor(y))\n", "library(e1071)\n", "svmfit=svm(y~., data=dat, kernel=\"linear\", cost=10,scale=FALSE)\n", "plot(svmfit, dat)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "